ZHU Junwei,GU Lina,LI Shengbiao.Two classes of third order boundary value problems with spectral parameters in the boundary under transmission conditions[J].Journal of Yanbian University,2022,(04):303-311.
转移条件下边界中含有谱参数的两类三阶边值问题的研究
- Title:
- Two classes of third order boundary value problems with spectral parameters in the boundary under transmission conditions
- 文章编号:
- 1004-4353(2022)04-0303-09
- 分类号:
- O175.8
- 文献标志码:
- A
- 摘要:
- 在转移条件下利用判断函数和Rouche定理研究了如下边界中含有谱参数的两类三阶边值问题:{(py″)'+qy=λwy,AλY(a)+BλY(b)=0,CY(c-)+DY(c+)=0; {(py')″+qy=λwy,AλY(a)+BλY(b)=0,CY(c-)+DY(c+)=0.研究结果显示,该问题至多有m+n+2个特征值.该结果可为研究奇数阶微分方程边值问题的有限谱提供参考.
- Abstract:
- Using the iterative construction of the characteristic function and Rouche's theorem under transmission conditions, the following two classes of third order boundary value problems with spectral parameters are studied:{(py″)'+qy=λwy,AλY(a)+BλY(b)=0,CY(c-)+DY(c+)=0; {(py')″+qy=λwy,AλY(a)+BλY(b)=0,CY(c-)+DY(c+)=0.The results of the study showed that problems had at most m+n+2 eigenvalues.The results can provide a reference for the finite spectrum of boundary value problems of odd order differential equations.
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备注/Memo
收稿日期: 2022-09-20
基金项目: 甘肃省教育科技创新项目(2022A - 174); 杨凌职业技术学院校内项目(GJ20 - 105)
作者简介: 朱军伟(1994—),男,硕士,助教,研究方向为微分方程与谱理论.